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- N. N. Khuri
- 2008

It is well known that the s-wave Jost function for a potential, λV , is an entire function of λ with an infinite number of zeros extending to infinity. For a repulsive V, and at zero energy, these zeros of the " coupling constant " , λ, will all be real and negative, λ n (0) < 0. By rescaling λ, such that λ n < −1/4, and changing variables to s, with λ =… (More)

Conditions are established for the existence of a scattering length and an effective range in the low-energy expansion of the S-wave phase-shift of a central potential in two and three dimensions. The behavior of the phase-shift as a function of the momentum is also derived for longer-range power-law potentials which do not fulfill these conditions.

For a very large class of potentials, V (x), x ∈ R 2 , we prove the uni-versality of the low energy scattering amplitude, f (k ′ , k). The result is f = π 2 {1/log k) + O(1/(log k) 2). The only exceptions occur if V happens to have a zero energy bound state. Our new result includes as a special subclass the case of rotationally symmetric potentials, V (|… (More)

- N N Khuri
- 1994

We discuss the importance of measuring ρ = ReF/ImF at LHC to test the forward dispersion relations and local QFT. It is pointed out that at LHC we can reach a short distance domain that has not been pre-explored by QED. This is in contrast with all previous tests of the dispersion relations. We argue that the most likely property of QFT to fail is… (More)

- N N Khuri
- 1994

In this paper we consider non-relativistic quantum mechanics on a space with an additional internal compact dimension, i.e. R 3 ⊗S 1 instead of R 3. More specifically we study potential scattering for this case and the analyticity properties of the forward scattering amplitude, T nn (K), where K 2 is the total energy and the integer n denotes the internal… (More)

In this work, we performed a comprehensive analysis of the genome organization of eight publicly available cyanobacterial genomes and of the extensively studied Escherichia coli K12. Our comparison revealed striking similarities in organization of different microbial genomes. We examined the orientation of putative CDS, and distance distribution patterns… (More)

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